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Finding the Third Proportional to 78,216 and 103,716

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Solution

The third proportional to 78,216 and 103,716 is: 137,529.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,216 : 103,716 = 103,716 : x
  2. Step 2: Convert to fraction form
    78,216/103,716 = 103,716/x
  3. Step 3: Cross multiply
    78,216x = 103,716 × 103,716
  4. Step 4: Simplify right side
    78,216x = 10,757,008,656
  5. Step 5: Solve for x
    x = 10,757,008,656/78,216
  6. Step 6: Final answer
    x = 137,529.52

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.